3,479,382

2 × 3³ × 64433

Starting at 3,479,382, the Collatz iteration reaches 1 after 97 steps. The first transition is 1739691; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 64433

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,732,080

Proper Divisor Sum 4,252,698

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3479381 ← → #3479393

Radix Representation

Decimal	3479382
Binary	1101010001011101010110 (22 bits)
Octal	0o15213526
Hexadecimal	0x351756

Divisor Catalog (16)

1 2 3 6 9 18 27 54 64,433 128,866 193,299 386,598 579,897 1,159,794 1,739,691 3,479,382

Collatz Trajectory (97 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,479,382 1,739,691 5,219,074 2,609,537 7,828,612 3,914,306 1,957,153 5,871,460 2,935,730 1,467,865 4,403,596 2,201,798 1,100,899 3,302,698 1,651,349 4,954,048 2,477,024 1,238,512 619,256 309,628 154,814 77,407 232,222 116,111 348,334 174,167 522,502 261,251 783,754 391,877 1,175,632 587,816 293,908 146,954 73,477 220,432 110,216 55,108 27,554 13,777 41,332 20,666 10,333 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614

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